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To understand the applications of Archimedes’ principle.
Archimedes’ principle is a powerful tool for solving many problems involving equilibrium in fluids. It states the following:
When a body is partially or completely submerged in a fluid (either a liquid or a gas), the fluid exerts an upward force on the body equal to the weight of the fluid displaced by the body.
As a result of the upward Archimedes force (often called the buoyant force), some objects may float in a fluid, and all of them appear to weigh less. This is the familiar phenomenon of buoyancy.
Quantitatively, the buoyant force can be found as
where Fbuoyant is the force, Ïfluid is the density of the fluid, g is the magnitude of the acceleration due to gravity, and V is the volume of the displaced fluid.
In this problem, you will be asked several qualitative questions that should help you develop a feel for Archimedes’ principle.
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